Question

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 60 with it. the distance between the foot of the tree to the point where the top touches the ground is 10m. find the height of the tree

Step by step full solution please help give your best answer

Answer 1

Answer:

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https://www.teachoo.com/1802/535/Ex-9.1--2---A-tree-breaks-due-to-storm-and-the-broken-part/category/Ex-9.1/

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Answer 2

Answer: New height = 10$\sqrt{3}$ m, original height = 10$\sqrt{3}$ + 20m

Step-by-step explanation: The tree would form an angle of 90 degrees with the ground.

Hence, as tan 60 = $\sqrt{3}$ and tan = opposite/adjacent side,

$\sqrt{3}$ = x/10 where x is the height.

x = 10$\sqrt{3}$m.

Cos 60 = 1/2 and as cos = adj/hypotenuse, 1/2 = 10/x = 20m.

So, the original height = 10$\sqrt{3}$ + 20m